scholarly journals Breather-to-soliton and rogue wave-to-soliton transitions in a resonant erbium-doped fiber system with higher-order effects

2016 ◽  
Vol 85 (1) ◽  
pp. 389-398 ◽  
Author(s):  
Lei Wang ◽  
Shen Li ◽  
Feng-Hua Qi
Keyword(s):  
Rogue Wave ◽  
Higher Order ◽  
Order Effects ◽  
Fiber System ◽  
Erbium Doped ◽  
Higher Order Effects

scholarly journals Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Rui Guo ◽  
Hui-Qin Hao ◽  
Xiao-Song Gu
Keyword(s):  
Darboux Transformation ◽  
Modulation Instability ◽  
Lax Pair ◽  
Optical Solitons ◽  
Higher Order ◽  
Order Effects ◽  
Fiber System ◽  
Erbium Doped ◽  
Propagation Properties ◽  
Higher Order Effects

We mainly investigate the generalized nonlinear Schrödinger-Maxwell-Bloch system which governs the propagation of optical solitons in nonlinear erbium-doped fibers with higher-order effects. We deduce Lax pair, analyze modulation instability conditions, construct the Darboux transformation, and derive the Akhmediev breathers, Ma-breathers, bound solitons, and two-breather solutions for this system. Considering the influences of higher-order effects, propagation properties of those solitons are discussed.

Higher-order Effects to the Transmission of Rogue Wave

2014 ◽  
Vol 20 (2) ◽  
pp. 143-147
Author(s):  
李淑青 LI Shu-qing ◽  
杨光晔 YANG Guang-ye ◽  
李禄 LI Lu
Keyword(s):  
Rogue Wave ◽  
Higher Order ◽  
Order Effects ◽  
Higher Order Effects

DARK SOLITONS IN OPTICAL FIBERS WITH HIGHER ORDER EFFECTS

2002 ◽  
Vol 11 (02) ◽  
pp. 197-204 ◽  
Author(s):  
K. NAKKEERAN
Keyword(s):  
Optical Fibers ◽  
Dark Soliton ◽  
Higher Order ◽  
Order Effects ◽  
Nonlinear Wave Propagation ◽  
Bilinear Method ◽  
Fiber System ◽  
Normal Dispersion ◽  
Dispersion Regime ◽  
Higher Order Effects

We consider the higher order nonlinear Schrödinger (HNLS) equation, which governs the nonlinear wave propagation in optical fibers with higher order effects. Lax pair associated with the integrable HNLS equation for the pulse propagation in normal dispersion regime of the fiber media is constructed with the help of Ablowitz–Kaup–Newell–Segur method. Using Hirota bilinear method, dark soliton solution is explicitly derived. Similar study is also carried out for simultaneous propagation of N nonlinear pulses in the normal dispersion regime of the fiber system with higher order effects.

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